A Snapshot Algorithm for Linear Feedback Flow Control Design

Benjamin T. Dickinson
Belinda A. Batten
John R. Singler, Missouri University of Science and Technology

This document has been relocated to http://scholarsmine.mst.edu/math_stat_facwork/658

There were 11 downloads as of 28 Jun 2016.


The control of fluid flows has many applications. For micro air vehicles, integrated flow control designs could enhance flight stability by mitigating the effect of destabilizing air flows in their low Reynolds number regimes. However, computing model based feedback control designs can be challenging due to high dimensional discretized flow models. In this work, we investigate the use of a snapshot algorithm proposed in Ref. 1 to approximate the feedback gain operator for a linear incompressible unsteady flow problem on a bounded domain. The main component of the algorithm is obtaining solution snapshots of certain linear flow problems. Numerical results for the example flow problem show convergence of the feedback gains.